-3(x-1)=(x+4)+3

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Solution for -3(x-1)=(x+4)+3 equation:


Simplifying
-3(x + -1) = (x + 4) + 3

Reorder the terms:
-3(-1 + x) = (x + 4) + 3
(-1 * -3 + x * -3) = (x + 4) + 3
(3 + -3x) = (x + 4) + 3

Reorder the terms:
3 + -3x = (4 + x) + 3

Remove parenthesis around (4 + x)
3 + -3x = 4 + x + 3

Reorder the terms:
3 + -3x = 4 + 3 + x

Combine like terms: 4 + 3 = 7
3 + -3x = 7 + x

Solving
3 + -3x = 7 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
3 + -3x + -1x = 7 + x + -1x

Combine like terms: -3x + -1x = -4x
3 + -4x = 7 + x + -1x

Combine like terms: x + -1x = 0
3 + -4x = 7 + 0
3 + -4x = 7

Add '-3' to each side of the equation.
3 + -3 + -4x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 7 + -3
-4x = 7 + -3

Combine like terms: 7 + -3 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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